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Analytical Solution to 1D Compressible Navier-Stokes Equations
There exist complex behavior of the solution to the 1D compressible Navier-Stokes equations in half space. We find an interesting phenomenon on the solution to 1D compressible isentropic Navier-Stokes equations with constant viscosity coefficient on x,t ...
Changsheng Dou, Zishu Zhao
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Elliptic General Analytic Solutions [PDF]
To find analytically the traveling waves of partially integrable autonomous nonlinear partial differential equations, many methods have been proposed over the ages: “projective Riccati method,”“tanh‐method,”“exponential method,”“Jacobi expansion method,”“new … ,” etc.
Conte, R., Musette, M.
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Wiener-Hopf solution for impenetrable wedges at skew incidence [PDF]
A new Wiener-Hopf approach for the solution of impenetrable wedges at skew incidence is presented. Mathematical aspects are described in a unified and consistent theory for angular region problems.
V.G. Daniele +4 more
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An Analytical Solution for Non-Linear Viscoelastic Impact
The paper presents an analytical solution for the centric viscoelastic impact of two smooth balls. The contact period has two phases, compression and restitution, delimited by the moment corresponding to maximum deformation.
Stelian Alaci +4 more
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FolX from Pseudomonas aeruginosa is octameric in both crystal and solution [PDF]
FolX encodes an epimerase that forms one step of the tetrahydrofolate biosynthetic pathway, which is of interest as it is an established target for important drugs.
Byron, Olwyn +9 more
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Analytical solution of non-linear fractional diffusion equation
In this paper, we obtain an approximate/analytical solution of nonlinear fractional diffusion equation using the q-homotopy analysis transform method. The existence and uniqueness of the solution for this problem are also derived.
Obaid Alqahtani
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Analytical solution for the cumulative wake of yawed wind turbines
This thesis sets out to improve the physical grounding and predictive accuracy of cumulative wake effect modelling within wind farms with yawed turbines. It derives an analytical solution for the lateral velocity field within a wind farm and compares its
Gaukroger, Nils (author)
core
Convergency and Stability of Explicit and Implicit Schemes in the Simulation of the Heat Equation
Some strategies for solving differential equations based on the finite difference method are presented: forward time centered space (FTSC), backward time centered space (BTSC), and the Crank-Nicolson scheme (CN).
Franyelit Suárez-Carreño +1 more
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An analytic solution to Wahbaʼs problem [PDF]
2 ...
Yang, Yaguang, Zhou, Zhiqiang
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Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows
Analytical solution for the axi-symmetrical lattice Boltzmann model is obtained for the low-Mach number cylindrical Couette flows. In the hydrodynamic limit, the present solution is in excellent agreement with the result of the Navier-Stokes equation ...
Jianping Meng +7 more
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